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Finding the Fourth Proportional to 1,665.76, 2,496.57 and 690.88

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Solution

The fourth proportional to 1,665.76, 2,496.57 and 690.88 is: 1,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.76 : 2,496.57 = 690.88 : x
  2. Step 2: Convert to fraction form
    1,665.76/2,496.57 = 690.88/x
  3. Step 3: Cross multiply
    1,665.76x = 2,496.57 × 690.88
  4. Step 4: Simplify right side
    1,665.76x = 1,724,830.28
  5. Step 5: Solve for x
    x = 1,724,830.28/1,665.76
  6. Step 6: Final answer
    x = 1,035.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.